ieGAT - IE Global Admissions Logical Shape Sequences Questions and Answers — Questions and Answers
Question 1: Observe the sequence of figures. A consistent set of transformations is applied in each step. Which of the answer choices correctly represents the next figure in the sequence? **Sequence:** 1. A large square containing a small, black circle in the top-left quadrant and an arrow pointing upwards. 2. A large square containing a small, black circle in the top-right quadrant and an arrow pointing to the right. 3. A large square containing a small, black circle in the bottom-right quadrant and an arrow pointing downwards.
- A large square containing a small, black circle in the bottom-left quadrant and an arrow pointing to the left. (Correct answer)
- A large square containing a small, black circle in the top-left quadrant and an arrow pointing to the left.
- A large square containing a small, black circle in the bottom-left quadrant and an arrow pointing upwards.
- A large square containing a small, black circle in the top-right quadrant and an arrow pointing downwards.
Correct answer: A large square containing a small, black circle in the bottom-left quadrant and an arrow pointing to the left.
The sequence follows two independent patterns. Pattern 1: The arrow rotates 90 degrees clockwise in each step (Up -> Right -> Down -> Left). Pattern 2: The small, black circle moves one quadrant clockwise in each step (Top-Left -> Top-Right -> Bottom-Right -> Bottom-Left). The next logical figure must have the arrow pointing to the left and the circle in the bottom-left quadrant.
Question 2: A 3x3 matrix of figures is presented with one figure missing in the bottom-right position. Analyze the relationship between the figures in the rows and columns to determine the correct figure to complete the matrix. **Matrix:** - **Row 1:** [Empty Circle] [Cross (+) Symbol] [Circle with a Cross inside] - **Row 2:** [Empty Square] [Horizontal line (-)] [Square with a Horizontal Line inside] - **Row 3:** [Empty Pentagon] [Small solid dot (•)] [?]
- An empty pentagon with a small solid dot inside. (Correct answer)
- An empty circle with a small solid dot inside.
- A small solid dot inside a cross symbol.
- An empty pentagon.
Correct answer: An empty pentagon with a small solid dot inside.
The logic in this matrix is that the figure in the third column of each row is a superposition of the figures from the first and second columns. In Row 1, the cross is placed inside the circle. In Row 2, the horizontal line is placed inside the square. Therefore, in Row 3, the small solid dot should be placed inside the empty pentagon.
Question 3: Figure A is to Figure B in the same way that Figure C is to which of the answer choices? - **Figure A:** A large square, containing a medium circle, which in turn contains a small triangle. - **Figure B:** A medium circle containing a small triangle. - **Figure C:** A large pentagon, containing a medium square, which in turn contains a small star.
- A large pentagon containing a medium square.
- A medium square containing a small star. (Correct answer)
- A medium square containing a small pentagon.
- A large star containing a medium square.
Correct answer: A medium square containing a small star.
The transformation from Figure A to Figure B involves removing the outermost shape. Figure A has a square, circle, and triangle from outside-in. Figure B has only the circle and triangle. Applying this same logic to Figure C, which has a pentagon, square, and star from outside-in, requires removing the outermost shape (the pentagon). This leaves the medium square containing the small star.
Question 4: Four of the five figures below follow a common logical rule. Which figure is the 'odd one out'? A) A triangle (3 sides) with three small circles inside. B) A square (4 sides) with four small dots inside. C) A hexagon (6 sides) with six small squares inside. D) A pentagon (5 sides) with four small triangles inside.
- Figure A
- Figure B
- Figure C
- Figure D (Correct answer)
Correct answer: Figure D
The logical rule connecting four of the figures is that the number of sides of the outer shape is equal to the number of smaller, inner shapes. Figure A has a 3-sided shape and 3 inner shapes. Figure B has a 4-sided shape and 4 inner shapes. Figure C has a 6-sided shape and 6 inner shapes. Figure D breaks this rule, as it has a 5-sided shape (pentagon) but only 4 inner shapes.
Question 5: A transparent square paper is folded along the dotted line as shown in Step 1. Then, two holes are punched through it as shown in Step 2. Which answer choice shows what the paper will look like when it is unfolded?
- A square with two holes on the left side and two holes on the right side, mirrored vertically. (Correct answer)
- A square with two holes in the center.
- A square with four holes aligned vertically along the left edge.
- A square with four holes forming a small square pattern in the top-left corner.
Correct answer: A square with two holes on the left side and two holes on the right side, mirrored vertically.
The paper is folded in half from right to left. The two holes are punched through both layers on the left half of the folded paper. When the paper is unfolded (opening the right side back out), the two holes will be mirrored onto the right half. This results in a total of four holes: the original two on the left, and a symmetrical pair on the right.
Question 6: All figures in Group 1 follow a specific rule that figures in Group 2 do not. Which of the answer choices belongs in Group 1? - **Group 1:** A five-pointed star; A rectangle; The letter 'S'. - **Group 2:** A scalene triangle; The letter 'F'; A semi-circle.
- The number '8' (Correct answer)
- The letter 'P'
- A right-angled triangle
- A crescent moon shape
Correct answer: The number '8'
The rule for Group 1 is that all figures have point symmetry (also known as rotational symmetry of order 2 or more). This means they appear the same if rotated 180 degrees around their central point. A star, a rectangle, and the letter 'S' all have this property. The figures in Group 2 do not. Of the answer choices, only the number '8' has point symmetry. The letter 'P', a right-angled triangle, and a crescent moon do not look the same when rotated 180 degrees.
ieGAT - IE Global Admissions Logical Shape Sequences Questions and Answers
Observe the sequence of figures.
A consistent set of transformations is applied in each step.
Which of the answer choices correctly represents the next figure in the sequence?
**Sequence:**
1.
A large square containing a small, black circle in the top-left quadrant and an arrow pointing upwards.
2.
A large square containing a small, black circle in the top-right quadrant and an arrow pointing to the right.
3.
A large square containing a small, black circle in the bottom-right quadrant and an arrow pointing downwards.
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